Strong Time-Consistency of a Core: An Application to the Pollution Control Problem in Eastern Siberia

Author(s):  
Ekaterina V. Gromova ◽  
Polina I. Barsuk ◽  
Shimai Su

In this paper, we study the (strong) time-consistency property of the core for a linear-quadratic differential game of pollution control with nonzero absorption coefficient and real values of the model parameters. The values of parameters are evaluated based on the data for the largest aluminum enterprises of Eastern Siberia region of the Russian Federation for the year 2016. The obtained results are accompanied with illustrations.

2019 ◽  
Vol 21 (01) ◽  
pp. 1940004 ◽  
Author(s):  
Leon Petrosyan

The problem of cooperation in repeated and multistage games is considered. The strong equilibrium (equilibrium stable against deviations of coalitions) with payoffs which can be attained under cooperation is constructed for a wide class of such games. The new solution concept based on solutions of stage games is introduced and in some cases this solution is a subset of the core defined for repeated and multistage games in a classical way. It is also proved that this newly introduced solution concept is strongly time consistent. The strong time consistency of the solution is a very important property since in case it does not take place players in reality in some time instant in subgame on cooperative trajectory may switch from the previously selected optimal solution to any other optimal solution in the subgame and as result realize the solution which will not be optimal in the whole game.


2021 ◽  
Vol 13 (2) ◽  
pp. 637
Author(s):  
Tomas Astrauskas ◽  
Tomas Januševičius ◽  
Raimondas Grubliauskas

Studies on recycled materials emerged during recent years. This paper investigates samples’ sound absorption properties for panels fabricated of a mixture of paper sludge (PS) and clay mixture. PS was the core material. The sound absorption was measured. We also consider the influence of an air gap between panels and rigid backing. Different air gaps (50, 100, 150, 200 mm) simulate existing acoustic panel systems. Finally, the PS and clay composite panel sound absorption coefficients are compared to those for a typical commercial absorptive ceiling panel. The average sound absorption coefficient of PS-clay composite panels (αavg. in the frequency range from 250 to 1600 Hz) was up to 0.55. The resulting average sound absorption coefficient of panels made of recycled (but unfinished) materials is even somewhat higher than for the finished commercial (finished) acoustic panel (αavg. = 0.51).


1945 ◽  
Vol 35 (2) ◽  
pp. 57-69
Author(s):  
B. Gutenberg

Summary It is found that the absorption coefficient for longitudinal and transverse waves in the mantle of the earth as well as for longitudinal waves through the core is 0.00012 per km. In the average shallow earthquake about equal amounts of energy go into longitudinal and transverse waves. Equation (18), together with tables 2 and 4, permits the calculation of the magnitude of a shallow earthquake from the amplitudes of P, PP, or S.


2011 ◽  
Vol 403-408 ◽  
pp. 3758-3762
Author(s):  
Subhajit Patra ◽  
Prabirkumar Saha

In this paper, two efficient control algorithms are discussed viz., Linear Quadratic Regulator (LQR) and Dynamic Matrix Controller (DMC) and their applicability has been demonstrated through case study with a complex interacting process viz., a laboratory based four tank liquid storage system. The process has Two Input Two Output (TITO) structure and is available for experimental study. A mathematical model of the process has been developed using first principles. Model parameters have been estimated through the experimentation results. The performance of the controllers (LQR and DMC) has been compared to that of industrially more accepted PID controller.


Author(s):  
Mark Ka Heng Chan ◽  
Chi-Leung Chiang

Abstract Purpose To examine the equivalent uniform dose (EUD) formalism using the universal survival curve (USC) applicable to high-dose stereotactic body radiotherapy (SBRT). Materials and methods For nine non-small-cell carcinoma cell (NSCLC) lines, the linear-quadratic (LQ) and USC models were used to calculate the EUD of a set of hypothetical two-compartment tumor dose–volume histogram (DVH) models. The dose was varied by ±5%, ±10%, and ±20% about the prescription dose (60 Gy/3 fractions) to the first compartment, with fraction volume varying from 1% and 5% to 30%. Clinical DVHs of 21 SBRT treatments of NSCLC prescribed to the 70–83% isodose lines were also considered. The EUD of non-standard SBRT dose fractionation (EUDSBRT) was further converted to standard fractionation of 2 Gy (EUDCFRT) using the LQ and USC models to facilitate comparisons between different SBRT dose fractionations. Tumor control probability (TCP) was then estimated from the LQ- and USC-EUDCFRT. Results For non-standard SBRT fractionation, the deviation of the USC- from the LQ-EUDSBRT is largely limited to 5% in the presence of dose variation up to ±20% to fractional tumor volume up to 30% in all NSCLC cell lines. Linear regression with zero constant yielded USC-EUDSBRT = 0.96 × LQ-EUDSBRT (r2 = 0.99) for the clinical DVHs. Converting EUDSBRT into standard 2‑Gy fractions by the LQ formalism produced significantly larger EUDCFRT than the USC formalism, particularly for low $$\alpha /\beta$$ α / β ratios and large fraction dose. Simplified two-compartment DVH models illustrated that both the LQ- and USC-EUDCFRT values were sensitive to cold spot below the prescription dose with little volume dependence. Their deviations were almost constant for up to 30% dose increase above the prescription. Linear regression with zero constant yielded USC-EUDCFRT = 1.56 × LQ-EUDCFRT (r2 = 0.99) for the clinical DVHs. The clinical LQ-EUDCFRT resulted in median TCP of almost 100% vs. 93.8% with USC-EUDCFRT. Conclusion A uniform formalism of EUD should be defined among the SBRT community in order to apply it as a single metric for dose reporting and dose–response modeling in high-dose-gradient SBRT because its value depends on the underlying cell survival model and the model parameters. Further investigations of the optimal formalism to derive the EUD through clinical correlations are warranted.


2003 ◽  
Vol 48 (7) ◽  
pp. 57-63 ◽  
Author(s):  
M.C. Sekhar ◽  
Ch. Indira

Chloride discharge relationships at several monitoring stations on the River Krishna in South India are investigated, both qualitatively and quantitatively, to identify probable source contributions. The chloride behaviour along the waterway is studied in detail to assess the source contributions at various monitoring stations falling within the study area. Seasonal variations in the intensity of rainfall cause wide variations in the quality of the River Krishna. As there is strong seasonal dependence between the flow in the river and chlorides, seasonal models are developed for prediction of concentrations and loads. Linear regression analysis is carried out to determine the model parameters. The predicted concentrations and loads are in agreement with the observed values within the uncertainty of data. As the area is characterized by distinct dry and wet seasons (based on rainfall distribution over the year), mass balances are used to differentiate between point and non-point source contributions to the river. In large river basins, monitoring all individual sources is difficult and/or impossible and expensive; hence the presented approach based on receiving water quality and flow serves as an alternative for modeling chlorides in the river basin. Results of the study can be used to emphasise water pollution control strategies.


Author(s):  
Valery G. Volkov ◽  
Aleksandr N. Lutkov ◽  
Andrey A. Rogov

In modern student sports of the Russian Federation, a prominent place is occupied by a team of students and specialists in physical education and sports of Penza State University. The main efforts in the sport development in the higher education system of the Penza Region were carried out by a team of a specialized faculty of physical education, and later the Institute of Physical Culture and Sports of Penza State University. We analyze the prerequisites developed in the Penza Region and other regions for the opening of a higher educational institution for the physical education specialists training. In the period of 1940-1950, mid-level personnel for schools and physical education groups were trained by technical schools of physical education, which were secondary special educational institutions. Since the faculty opening, sports work at the institute has significantly revived. As throughout the country, in Penza Pedagogical University, the foundation of a sports society, its primary organization was a sports club, which was created at the university, most commonly, by student and local labour union committees. The core of the sports club was students of physical education faculty, although the leadership of the club was based on the first decades at the department of physical education. The core of the sports club was students of physical education, although the leadership of the club in the first decades was based at the physical education department. Sports achievements of students and graduates of the Faculty of Physical Education are presented. We note multiple victories at the championships of the voluntary sports society “Burevestnik”, the championships of the RSFSR, the USSR, the Russian Federation, the Universiades, the World and Europe Championships, Olympic Games in swimming, athletics, volleyball, basketball, rhythmic gymnastics, sambo, speed skating, gymnastics, hockey throughout the entire period of the faculty.


2016 ◽  
Vol 4 (1) ◽  
pp. 33-47
Author(s):  
Фёклин ◽  
Sergey Feklin

The Federal Law of December 29, 2012 № 273-FL “On Education in the Russian Federation” has introduced further clarity in the legal status of a leader (director) of a general educational institution, which came into eff ect as per September 1, 2013. The school principal is given the exceptional legal standing (status), which is conditioned by the specifi cs of his job duties, position and role in the mechanism of the educational institution management. The author thoroughly summarizes, reports in depth and gives comments on the questions concerning the core aspects of a school principal job, which are the most frequently asked by the learners of qualifi cation upgrading courses, and participants of roundtables and seminars. The author also highlights the school principal’s qualifi cation standards and administrational powers in terms of organization management, considering these issues De lege lata. The material is presented in the form of detailed answers to the frequently asked questions on the issues concerned.


2003 ◽  
Vol 28 (2) ◽  
pp. 287-306 ◽  
Author(s):  
Fons Groot ◽  
Cees Withagen ◽  
Aart de Zeeuw

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